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Finding the Fourth Proportional to 5,381,213,427.80, 8,071,820,141.70 and 5,381,213,427.80

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Solution

The fourth proportional to 5,381,213,427.80, 8,071,820,141.70 and 5,381,213,427.80 is: 8,071,820,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,213,427.80 : 8,071,820,141.70 = 5,381,213,427.80 : x
  2. Step 2: Convert to fraction form
    5,381,213,427.80/8,071,820,141.70 = 5,381,213,427.80/x
  3. Step 3: Cross multiply
    5,381,213,427.80x = 8,071,820,141.70 × 5,381,213,427.80
  4. Step 4: Simplify right side
    5,381,213,427.80x = 43,436,186,933,302,542,336
  5. Step 5: Solve for x
    x = 43,436,186,933,302,542,336/5,381,213,427.80
  6. Step 6: Final answer
    x = 8,071,820,141.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.